Meridional throughflow calculation including the effects of nonaxisymmetric flow in turbomachinery
Abstract
This report presents a method for meridional throughflow calculations in turbomachines which is available to the quasithreedimensional design problem. An equilibrium equation along an arbitrary quasiorthogonal is formulated by exactly averaging the equations of continuity, momentum and energy in the circumferential direction. In the present method, the assumption of an S2surface is unnecessary, and the effect of blade force due to the pressure difference across a blade, and the effect of nonaxisymmetricity due to finiteness of the number of blades, can be rigorously taken into account. The quasiorthogonal can be an arbitrary curve lying on a meridional plane, and so the method can be applied to a meridional throughflow calculation in all types of turbomachines. Furthermore, the relation between the pressure difference across a blade and the change in the angular momentum along a stream surface of revolution is described. The equilibrium equations are solved by means of the streamline curvature method according to the blade loading assigned as a design condition. The present method has been applied to a design problem of a diagonalinflow turbine.
 Publication:

Kyushu University Faculty Engineering Memoirs
 Pub Date:
 September 1986
 Bibcode:
 1986KUFEM..46..309F
 Keywords:

 Computational Fluid Dynamics;
 Flow Equations;
 Meridional Flow;
 Three Dimensional Flow;
 Turbomachinery;
 Angular Momentum;
 Curvature;
 Equilibrium Equations;
 Rotor Blades;
 Fluid Mechanics and Heat Transfer